A new identity involving the Chebyshev polynomials

DOI10.3390/math6110244zbMath1448.11061OpenAlexW2899745446MaRDI QIDQ1634712

Zhuoyu Chen, Yixue Zhang

Publication date: 18 December 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math6110244

zbMATH Keywords

Chebyshev polynomialsrecursive sequenceconvolution sumsidentitycombinatorial method

Mathematics Subject Classification ID

Combinatorial identities, bijective combinatorics (05A19) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Special sequences and polynomials (11B83) Fibonacci and Lucas numbers and polynomials and generalizations (11B39)

Related Items (9)

Sums of finite products of Pell polynomials in terms of hypergeometric functions ⋮ On sums of finite products of balancing polynomials ⋮ More properties of \((\beta,\gamma)\)-Chebyshev functions and points ⋮ On \((\beta,\gamma)\)-Chebyshev functions and points of the interval ⋮ Unnamed Item ⋮ On the Chebyshev polynomials and some of their new identities ⋮ On the Catalan numbers and some of their identities ⋮ A note on the sequence related to Catalan numbers ⋮ Some identities involving Fibonacci polynomials and Fibonacci numbers

Cites Work

• On Chebyshev's polynomials and certain combinatorial identities
• Some identities involving the derivative of the first kind Chebyshev polynomials
• Some identities involving Chebyshev polynomials
• Chebyshev polynomials and their some interesting applications
• Some new identities of Chebyshev polynomials and their applications
• Some identities involving the reciprocal sums of one-kind Chebyshev polynomials
• Identities and generating functions on Chebyshev polynomials
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